- Suresh scored 15 marks more than
Ramesh in Mathematics. If the sum of their marks in Mathematics is 275,
find the marks obtained by each of them.
**Ans. Suresh :- 145; Ramesh :- 130 marks** - The sum of two numbers is 40 and the
greater number is thrice the smaller number. Find the numbers.
**Ans. The greater number is 30 & the smaller number is 10.** - The sum of the two numbers is 25 and
the difference between them is 15. Find the two numbers.
**Ans.****The greater number is 20 and the smaller number is 5.** - The length of a rectangle is greater
than twice its breadth by 4 cm. If the perimeter of the rectangle is 26
cm, find its length and breadth.
**Ans. Length of the rectangle is 10cm & its breadth is 3 cm.** - The sum of the present ages of Ram
and Shyam is 36 years. Ram is elder than Shyam by 2 years. Find their
present ages.
**Ans. The present age of Ram is 19 yrs. And Shyam is 17 years.** - Ram has in all 35 coins, some of
denomination 25 paise and some of 10 paise. Total amount is Rs. 6.20. Find
the number of coins of each kind.
**Ans. 25 paise coins; - 18 and 10 paise coins: - 17.** - Cost of a table is three times the
cost of a chair. One table and one chair together cost Rs. 800. Find the
cost of a table. Ans.
**600** - The perimeter of an isosceles
triangle is 43cm. The length of its each congruent side is 1 cm less than
twice the length of its base. Find the length of each side of the
triangle.
**Ans. 17 cm, 9 cm, 17 cm.** - The difference between two numbers
is 5. Six times the smaller number is equal to four times the greater.
Find the numbers.
**Ans. 15 and 10.** - In a right – angled triangle, one of
the acute angles exceeds the other by 20
^{0}. Find the measure of the acute angles.**Ans. 35**^{0 }& 55^{0}.

**Ans. 11 cm, 11cm and 5 cm.**

- Ina a cyclic quadrilateral ABCD,
measure of angle A is double the measure of angle C. Find the measure of
angle A and angle C.
**Ans. 120**^{0 }& 60^{0}. - The sum of two numbers is 70. Three
times the greater number is equal to four times the smaller number. Find
the two numbers.
**Ans. 40 and 30.** - The difference between two numbers
is 16. The greater number is 1 more than twice the smaller number. Find
the numbers.
**Ans. 31 and 15.** - 2 pens and 3 pencils cost Rs. 26,
while 3 pens and 2 pencils cost Rs. 34. Find the cost of a pen and a
pencil.
**Ans. Pen: - Rs. 10 Pencil: - Rs. 2.** - In a parallelogram ABCD, the measure
of angle A is thrice the measure of angle B. Find the measure of angle A
and angle B.
**Ans. Angle A :- 135**^{0}& angle B :- 45^{0}. - A piece of string 12m in length was
cut into two pieces such that one piece is x metres and the other is y
meters. If y is 2 meters more than x, find the length of each piece.
**Ans. 5m and 7 m.** - The difference between the measures
of angle A and angle B of a parallelogram ABCD is 18
^{0}. Find the measure of angle A and angle B.**Ans. Angle A: - 99**and^{0 }**Angle B: - 81**^{0}. - 2 mangles and 5 oranges together
cost Rs. 30; but 4 mangoes and 3 oranges cost Rs. 46. Find the cost of a
mango and an orange.
**Ans. Mango 10Rs, Orange 2 Rs.** - 3 books and 1 notebook together cost
Rs. 53, but 2 books and 4 notebooks cost Rs. 62. Find the cost of a book
and a note book.
**Ans. Book Rs. 15, Note book Rs. 8.**

- 3 pepsi and 1 mangola bottles together cost Rs. 53,
but 2 pepsi and 4 mangola bottles cost Rs. 62. Find the cost of a pepsi
and a mangola bottle.
**Ans. Cost of pepsi bottle: - Rs. 15 Mangola bottle: - Rs. 8.** - Out of 10 litres, a milkman sells some milk at the
rate of Rs. 15 per litre and some at the rate of Rs.12 per litre. He gets
Rs. 141 on selling it. Find the quantity of milk he sold at each rate.
**Ans. 7 litres @ Rs. 15 per litre and 3 litres @ Rs. 12 per litres.** - Mother’s age is 4 times her daughter’s age. 16 years
hence mother’s age will be twice her daughter’s age at that time. Find
their present ages.
**Ans. Mother’s present age ; 32 years. daughter’s present age : 8 years.** - The sum of the present ages of Mangesh and his mother
is 70 years. Seven years ago mother’s age was three times the age of
Mangesh at that time. Find their present ages.
**Ans. Mangesh: - 21 years. Mother: - 49 years.** - Some postcards costing 25 paise each and inland
letters costing Rs. 2 each were purchased for Rs. 53. Total number of
postcards and inland letters purchased was 44. If the number of postcards
and inland letters is interchanged, how much less would be the amount?
**Rs. 7 less.** - If 3 is added to the numerator and 5 is subtracted
from the denominator of a fraction, the value of the fraction becomes ¾
and if 1 is added to the numerator and 3 is subtracted from the
denominator, the value of the fraction becomes ½. Find the original
fraction.
**Ans. The original fraction is 6/17.** - Sum of two numbers is 200. 1/3 of greater number is
equal to ½ of smaller number. Find the numbers.
**Ans. 120 & 80.** - On the first day of the sale of tickets of a drama,
50 tickets in all were sold. If the rates of the tickets were Rs. 20 and
Rs. 40 per ticket and the total collection was Rs. 1,800, find the number
of tickets sold at each rate.
**Ans. 10 tickets @ Rs. 20, 40 tickets @ Rs. 40.** - Age of John’s father is three times the age of John.
Five years ago, age of father was four times John’s age at that time. Find
their present ages.
**Ans. Father’s age :- 45 yrs. John’s age :- 15 yrs. B** - The length of
a rectangle is less than twice its breadth by 9cm. The perimeter of the
rectangle is 54 cm. Find the area of the rectangle.
**Ans. Area is 180 sq cm.**

**Ans. 9 and 4.**

**Ans. Friends :- 12 pencils : 48**

**Ans. Pen Rs. 10 and Pencil Rs. 2.**

**Ans. The fraction is 5/8.**

**Ans. The fraction is 5/13.**

**Ans. 8/15.**

**Ans. 40 boys and Rs. 400.**

**Ans.**

**800 students.**

**Ans. 3/8**

**Ans. Rs. 800 boys 20.**

- The perimeter of a rectangle is 40
cm and its length is 5 cm more than twice its breadth. Find the length and
the breadth of the rectangle.
**Ans. Length = 15cm and breadth = 5 cm.** - A two – digit number is 4 times the
sum of its digits. The number obtained by interchanging the digits is
greater by 9 than the original number. Find the original number.
**Ans. The original number is 12.** - A boat requires 6 hrs to travel 36
km downstream and 24 km upstream. It requires 9 hrs to travel 48 km
downstream and 40 km upstream. Find the speed of the stream and that of
the boat in the still water.
**Ans. Speed of the Boat = 10Km/ hr. and the speed of the stream = 2 Km/ hr.**